Re: high-school presentation, suggestions?

Johanne Fairchild <jfairchild@tudado.org> wrote or quoted:

I asked myself---why does the shuffling make the game likely to end?

  Periodicity (getting into a loop) often is not stable. When you
  start at noon and repeatedly add 12 hours, then you get the
  repeating sequence "noon - midnight - noon - midnight - ...".
  But if instead you add 12 hours plus a random time (even a small
  one), the outcome nearly always will not be periodic anymore.

  Now, imagine that there is some "end rule". For example,
  the addition stops, once a time between 1 p.m. and 2 p.m. is
  reached. With the periodic sequence "noon - midnight - noon -
  midnight - ..." this end interval will /never/ be reached.
  But when a random time is added, it should often be reached.